Can Elevated TSH And High Sugar Level Cause Weight Gain?

For the past 3 years, despite rigorous diet and exercise and staying on a 1,100 calories a day diet, I have gained 30 pounds. Every time my doctors does my labs, the TSH number appears to get higher. This time is was a 2.6. He subsequently did a Free T-4 test and it come back as normal, but in the lower range of normal. I am tired all the time. My hair has gotten really thin and I have high blood pressure and high cholesterol, which I am being treated for. However, as well as the TSH going up, so has the fasting glucose number. This is the 4th time it has been high and my doctor doesn t feel I should be on any medication. I don t know what to do about my weight. I even tried cutting back to 600 calories a day with extensive exercise but it did nothing. Can the weight gain be connected to my TSH number and/or my high sugar number? Should I be treated for either of these?